33968732838840 has 192 divisors, whose sum is σ = 112066917580800. Its totient is φ = 8921473456896.

The previous prime is 33968732838839. The next prime is 33968732838851. The reversal of 33968732838840 is 4883823786933.

It is a happy number.

33968732838840 is a `hidden beast` number, since 3 + 396 + 87 + 3 + 2 + 83 + 8 + 84 + 0 = 666.

It is a super-3 number, since 3×33968732838840³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132604401 + ... + 132860319.

It is an arithmetic number, because the mean of its divisors is an integer number (583681862400).

Almost surely, 2^{33968732838840} is an apocalyptic number.

33968732838840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33968732838840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56033458790400).

33968732838840 is an abundant number, since it is smaller than the sum of its proper divisors (78098184741960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33968732838840 is a wasteful number, since it uses less digits than its factorization.

33968732838840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261506 (or 261499 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 33968732838840 in words is "thirty-three trillion, nine hundred sixty-eight billion, seven hundred thirty-two million, eight hundred thirty-eight thousand, eight hundred forty".